Answer:
The measure of <em>x</em> is:
9 inches
Step-by-step explanation:
Perimeter = x + 2(x-4)
perimeter = 19 inches
then:
19 = x + 2(x-4)
19 = x + (2*x) + (2*-4)
19 = x + 2x - 8
19 = 3x - 8
19 + 8 = 3x
27 = 3x
27/3 = x
x = 9 inches.
Answer:
The proof assumes that n=m=2k, which is false in general.
Step-by-step explanation:
If n is an even number, then n=2k for some integer k. In the same way, if m is an even number, then m=2j for some integer j. It is important to write two different letters, k and j, because these integers are not necessarily equal.
For example, take n=10 and m=30. Then k=5 and j=15, so they are different. The fallacy of this proof is that it assumes k=j.
A correct proof would continue like this: by the usual laws of algebra we have that n+m=2k+2j=2(k+j). Since k+j is an integer, n+m=2p for some integer p=k+j, hence n+m is even.
The average change is 3 degrees per hour.
To calculate the average of any data we have to divide the change by the time taken for that change.
let us suppose there is a data 4,5,6,7 and 8.
Average of the data will be the sum of data divided by the number of terms.
Average=
=
= 6
So now we will calculate the average change in temperature per hour,
Given that there is a fall of 12 degrees in 4 hours.
Average change per hour=
= 3 degrees per hour
So, the required change is 3 degrees per hour.
To learn more about average visit the link:
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